1) Problem A.8 from Griffiths.
2) Problem A.9 from Griffiths.
3) Problem 3.2 from Griffiths.
4) Problem 3.5 from Griffiths.
5)
and
, where
and
form an orthonormal basis.
As we did in class, following the Gram-Schmidt procedure, construct a unit vector that is orthogonal to
and
belongs to the vector space spanned by
and
.